What is the answer to log_{x}(15625)=3 ?

The answer to log_{x}(15625)=3 is x=25

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log_{x}(15625)=3

lo g_{x} (15625) = 3

x = 25

Solution steps

lo g_{x} (15625) = 3

Apply log rules

\frac{1}{lo g _{15625} ( x )} = 3

Multiply both sides by

lo g_{15625} (x)

\frac{1}{lo g _{15625} ( x )} lo g_{15625} (x) = 3 lo g_{15625} (x)

Simplify

1 = 3 lo g_{15625} (x)

Switch sides

3 lo g_{15625} (x) = 1

Divide both sides by

3

lo g_{15625} (x) = \frac{1}{3}

Apply log rules

x = 25

Verify Solutions:

x = 25

True

The solution is

x = 25

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lo g_{7} (2 x + 3) = 1

\frac{1}{3 - lo g _{10} ( x )} + \frac{1}{1 + lo g _{10} ( x )} = 1

lo g_{10} (w - 12) = 4.9

lo g_{6} (x + 4) + lo g_{6} (x - 2) = lo g_{6} (4 x)